Greatest Common Factor of 695/87, 195/63, 500/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 695/87, 195/63, 500/768

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 695/87,195/63,500/768

Given fractions are 695/87,195/63,500/768

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 695,195,500

Greatest Common Factor of Numerators i.e. GCF of 695,195,500 is 5 .

LCM of Denominators means LCM of 87,63,768 as per the given fractions.

LCM of 87,63,768 is 467712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 695,195,500

GCF of Fractions 695/87,195/63,500/768 is 5/467712

5 695, 195, 500
139, 39, 100

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 695,195,500 By Matching Biggest Common Factor Method

Greatest Common Factor of 695,195,500 By Matching Biggest Common Factor Method

Factors of 695

List of positive integer factors of 695 that divides 695 without a remainder.

1,5,139,695

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Greatest Common Factor

We found the factors 695,195,500 . The biggest common factor number is the GCF number.
So the greatest common factor 695,195,500 is 5.

Lets's calculate LCM of 87,63,768

3 87, 63, 768
29, 21, 256

∴ So the LCM of the given numbers is 3 x 29 x 21 x 256 = 467712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/467712

Therefore, the GCF of Fractions 695/87,195/63,500/768 is 5/467712

Least Common Multiple of 87,63,768 with GCF Formula

Least Common Multiple of 87,63,768 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 87,63,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,63,768) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(87,63,768) x common factors =3 x 3 = 9

LCM(87,63,768) = ( 87 × 63 × 768 ) / 9

LCM(87,63,768) = 4209408 / 9

LCM(87,63,768) = 467712


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 695/87, 195/63, 500/768

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 695/87, 195/63, 500/768?

Answer: GCF of Numerators as per given numbers 695/87, 195/63, 500/768 is

GCF of Numerators i.e. for 695,195,500 is 5

LCM of denominators i.e. for 87,63,768 is 467712.

Thus, GCF of Fractions is 5/467712.Finally, GCF of Fractions for 695/87, 195/63, 500/768 is 5/467712.